Abstract
A one-dimensional model of the two-temperature generalized magneto-thermoelasticity theory with one relaxation time in a perfect conducting medium is established. The state space approach developed in [1]; [M. Ezzat, Int. J. Eng. Sci. 35 (1997) 741] is adopted for the solution of one-dimensional problems for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a specific problem of a half-space subjected to thermal shock and traction-free surface. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the two-temperature parameter and the applied magnetic field.
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